Discussion of Question with ID = 075 under Problems-on-Trains

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Question

A train speeding at 18 km/h crosses the platform in 48seconds, but it takes 5 seconds to cross a man standing on the same platform. What is the length of the platform?

A

215 meters.

B

216 meters.

C

214 meters.

D

217 meters.

Soln.
Ans: a

The speed of the train in m/s is 18 × (5/18) = 5 m/s. The length of the train can be obtained from the time it takes to cross the man = $5 × 5$ = 25meters. The combined length of the train and platform can be obtained from the time it takes to cross the platform, = $5 × 48 = 240$ meters. Subtracting, we get the length of the platform = 215 m.


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